Relevant bibliographies by topics / Sine-Gordon Model

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Sine-Gordon Model'

Author: Grafiati
Published: 4 June 2021
Last updated: 27 April 2022

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Journal articles on the topic "Sine-Gordon Model"

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Yanagisawa, Takashi. "Chiral sine-Gordon model." EPL (Europhysics Letters) 113, no. 4 (February 1, 2016): 41001. http://dx.doi.org/10.1209/0295-5075/113/41001.

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Lechtenfeld, O. "Noncommutative sine-Gordon model." Fortschritte der Physik 53, no. 5-6 (May 13, 2005): 500–505. http://dx.doi.org/10.1002/prop.200410210.

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Lechtenfeld, Olaf. "Noncommutative Sine-Gordon Model." Czechoslovak Journal of Physics 54, no. 11 (November 2004): 1351–57. http://dx.doi.org/10.1007/s10582-004-9800-4.

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Lechtenfeld, Olaf, Liuba Mazzanti, Silvia Penati, Alexander D. Popov, and Laura Tamassia. "Integrable noncommutative sine-Gordon model." Nuclear Physics B 705, no. 3 (January 2005): 477–503. http://dx.doi.org/10.1016/j.nuclphysb.2004.10.050.

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Takács, G., and F. Wágner. "Double sine-Gordon model revisited." Nuclear Physics B 741, no. 3 (May 2006): 353–67. http://dx.doi.org/10.1016/j.nuclphysb.2006.02.004.

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Xu, Bo-Wei, and Yu-Mei Zhang. "The local sine - Gordon model." Journal of Physics A: Mathematical and General 29, no. 22 (November 21, 1996): 7349–52. http://dx.doi.org/10.1088/0305-4470/29/22/028.

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Xu, Bo-Wei, and Yu-Mei Zhang. "The local sine - Gordon model." Journal of Physics A: Mathematical and General 30, no. 19 (October 7, 1997): 6993. http://dx.doi.org/10.1088/0305-4470/30/19/033.

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Guo-Hui Ding, Bo-Wei Xu, and Yu-Mei Zhang. "A discrete sine-Gordon model." Physics Letters B 317, no. 1-2 (November 1993): 107–11. http://dx.doi.org/10.1016/0370-2693(93)91578-b.

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Hairer, Martin, and Hao Shen. "The Dynamical Sine-Gordon Model." Communications in Mathematical Physics 341, no. 3 (December 21, 2015): 933–89. http://dx.doi.org/10.1007/s00220-015-2525-3.

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Hsu, Edward, and David Kutasov. "The gravitational sine-Gordon model." Nuclear Physics B 396, no. 2-3 (May 1993): 693–707. http://dx.doi.org/10.1016/0550-3213(93)90668-f.

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Dissertations / Theses on the topic "Sine-Gordon Model"

1

Tzamtzis, Georgios. "The complex sine-Gordon model on a half line." Thesis, Durham University, 2003. http://etheses.dur.ac.uk/3086/.

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In this thesis, we study the complex sine-Gordon model on a half line. The model in the bulk is an integrable (l+1) dimensional field theory which is U(1) gauge invariant and comprises a generalisation of the sine-Gordon theory. It accepts soliton and breather solutions. By introducing suitably selected boundary conditions we may consider the model on a half line. Through such conditions the model can be shown to remain integrable and various aspects of the boundary theory can be examined. The first chapter serves as a brief introduction to some basic concepts of integrability and soliton solutions. As an example of an integrable system with soliton solutions, the sine-Gordon model is presented both in the bulk and on a half line. These results will serve as a useful guide for the model at hand. The introduction finishes with a brief overview of the two methods that will be used on the fourth chapter in order to obtain the quantum spectrum of the boundary complex sine-Gordon model. In the second chapter the model is properly introduced along with a brief literature review. Different realisations of the model and their connexions are discussed. The vacuum of the theory is investigated. Soliton solutions are given and a discussion on the existence of breathers follows. Finally the collapse of breather solutions to single solitons is demonstrated and the chapter concludes with a different approach to the breather problem. In the third chapter, we construct the lowest conserved currents and through them we find suitable boundary conditions that allow for their conservation in the presence of a boundary. The boundary term is added to the Lagrangian and the vacuum is reexamined in the half line case. The reflection process of solitons from the boundary is studied and the time-delay is calculated. Finally we address the existence of boundary-bound states. In the fourth chapter we study the quantum complex sine-Gordon model. We begin with a brief overview of the theory in the bulk where the semi-classical spectrum and an exact S'-matrix are presented. Following that we use the stationary phase method to derive the semi-classical spectrum of boundary bound states. The bootstrap method is used as an alternative approach to obtain the same spectrum. The results are discussed and compared. The final chapter consists of a general discussion on open questions and problems of the model, and some proposals for further research.
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Kovačič, Gregor Wiggins Stephen. "Chaos in a model of the forced and damped sine-Gordon equation /." Diss., Pasadena, Calif. : California Institute of Technology, 1990. http://resolver.caltech.edu/CaltechETD:etd-05152007-075202.

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Nandori, Istvan. "Aspects of Non-Perturbative Renormalization." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2002. http://nbn-resolving.de/urn:nbn:de:swb:14-1036412015625-22668.

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The goal of this Thesis is to give a presentation of some key issues regarding the non-perturbative renormalization of the periodic scalar field theories. As an example of the non-perturbative methods, we use the differential renormalization group approach, particularly the Wegner-Houghton and the Polchinski renormalization group equations, in order to investigate the renormalization of a one-component periodic scalar field theory. The Wegner-Houghton equation provides a resummation of the loop-expansion, and the Polchinski equation is based on the resummation of the perturbation series. Therefore, these equations are exact in the sense that they contain all quantum corrections. In the framework of these renormalization group equations, field theories with periodic self interaction can be considered without violating the essential symmetry of the model: the periodicity. Both methods - the Wegner-Houghton and the Polchinski approaches - are inspired by Wilson's blocking construction in momentum space: the Wegner-Houghton method uses a sharp momentum cut-off and thus cannot be applied directly to non-constant fields (contradicts with the "derivative expansion"); the Polchinski method is based on a smooth cut-off and thus gives rise naturally to a "derivative expansion" for varying fields. However, the shape of the cut-off function (the "scheme") is not fixed a priori within Polchinski's ansatz. In this thesis, we compare the Wegner--Houghton and the Polchinski equation; we demonstrate the consistency of both methods for near-constant fields in the linearized level and obtain constraints on the regulator function that enters into Polchinski's equation. Analytic and numerical results are presented which illustrate the renormalization group flow for both methods. We also briefly discuss the relation of the momentum-space methods to real-space renormalization group approaches. For the two-dimensional Coulomb gas (which is investigated by a real-space renormalization group method using the dilute-gas approximation), we provide a systematic method for obtaining higher-order corrections to the dilute gas result.
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Babenko, Constantin. "Fonctions à un point dans le modèle de sine-Gordon supersymétrique." Thesis, Sorbonne université, 2019. http://www.theses.fr/2019SORUS040.

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Cette thèse de doctorat traite le problème du calcul des fonctions à un point (1PF) dans les théories des champs quantiques bidimensionnelles intégrables. Une méthode pour leur calcul a été élaborée dans le contexte de la théorie de sine-Gordon. L'intégrabilité du modèle a été utilisée pour construire une base d'opérateurs locaux décrivant le modèle à six sommets. Cette base, appelée fermionique, est intéressante parce que les valeurs moyenne dans le vide de ses opérateurs sont exprimées en termes de déterminants et que la structure fermionique peut être étendue à la limite continue pour caractériser les opérateurs locaux dans la CFT. Dans cette thèse, nous poursuivons le travail sur cette approche, visant à généraliser la base fermionique au modèle de sine-Gordon supersymétrique (ssG). Nous avons dérivé des équations de scaling régissant la thermodynamique de la théorie ssG, reproduisant la fonction génératrice de BLZ. Ensuite, nous avons décrit la structure intégrable du modèle ssG grâce à la base fermion-courant. Nous nous sommes concentrés sur la partie fermionique et avons calculé ses fonctions à un point. Ces résultats ont été vérifiés avec une approche différente s'appuyant sur les relations de réflexion
This PhD thesis addresses the problem of the calculation of the one point functions (1PF) in integrable two-dimensional quantum field theories. A method for their calculation has been developed in the context of the sine-Gordon Theory. The integrability of the model was used to build a basis of local operators to describe the six-vertex model. This basis, called fermionic, is interesting because the vacuum expectation values of its operators are expressed in terms of determinants and the fermionic structure can be extended to the continuous limit in order to characterize local operators in the CFT. In this thesis, we continue to work on this approach, aiming to generalize the fermionic basis to the supersymmetric sine-Gordon model (ssG). We derived scaling equations governing the thermodynamics of the ssG theory, reproducing the BLZ generating function. Then, we described the integrable structure of the ssG model using the fermion-current basis. We focused on the fermionic part and calculated its one point functions. These results were verified with a different approach based on the reflection relations
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Ablikim, Medina. "Boundary sinh-Gordon model and its supersymmetric extension." Thesis, Durham University, 1999. http://etheses.dur.ac.uk/4853/.

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Three different aspects of the sinh-Gordon model are explored in this thesis. We begin, in chapter one, with a summary of the model and the necessary background. Chapter two studies the model with two boundary conditions. Two approaches are presented to investigate the reflection factors off the boundaries and the energy of the theory. In chapter three, perturbation theory is developed to study the theory with one general boundary condition. A contribution to the quantum reflection factor is obtained and compared with the result obtained for the special boundary condition. Chapters four and five investigate the supersymmetric extension of the model in the presence of a single boundary. Firstly, the classical limits of the supersymmetric reflection matrices are checked. The exact reflection factors are studied perturbatively up to the second order of the coupling constant. Secondly, the perturbation theory and the path integral formalism are employed in the supersymmetric model to study the quantum reflection factors. We conclude with a brief sixth chapter describing the outlook for further investigations.
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Arceci, Luca. "Quantum solitons in the XXZ model with staggered external magnetic field." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2014. http://amslaurea.unibo.it/7612/.

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The 1-D 1/2-spin XXZ model with staggered external magnetic field, when restricting to low field, can be mapped into the quantum sine-Gordon model through bosonization: this assures the presence of soliton, antisoliton and breather excitations in it. In particular, the action of the staggered field opens a gap so that these physical objects are stable against energetic fluctuations. In the present work, this model is studied both analytically and numerically. On the one hand, analytical calculations are made to solve exactly the model through Bethe ansatz: the solution for the XX + h staggered model is found first by means of Jordan-Wigner transformation and then through Bethe ansatz; after this stage, efforts are made to extend the latter approach to the XXZ + h staggered model (without finding its exact solution). On the other hand, the energies of the elementary soliton excitations are pinpointed through static DMRG (Density Matrix Renormalization Group) for different values of the parameters in the hamiltonian. Breathers are found to be in the antiferromagnetic region only, while solitons and antisolitons are present both in the ferromagnetic and antiferromagnetic region. Their single-site z-magnetization expectation values are also computed to see how they appear in real space, and time-dependent DMRG is employed to realize quenches on the hamiltonian parameters to monitor their time-evolution. The results obtained reveal the quantum nature of these objects and provide some information about their features. Further studies and a better understanding of their properties could bring to the realization of a two-level state through a soliton-antisoliton pair, in order to implement a qubit.
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Kotecha, Vinay. "Solitons on lattices and curved space-time." Thesis, Durham University, 2001. http://etheses.dur.ac.uk/3845/.

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This thesis is concerned with solitons (solutions of certain nonlinear partial differential equations) in certain cases when the underlying space is either a lattice or curved. Chapter 2 of the thesis is concerned with the outcome of collisions between a kink (a 1-dimensional soliton) and an antikink for certain topological discrete (TD) systems. The systems considered are the TD sine-Gordon and the TD ø(^4) For the TD sine-Gordon system it is found that the kink can support an internal shape mode which plays an important role during the collisions. In particular, this mode can be excited during collisions and this leads to spectacular resonance effects. The outcome of any particular collision has sensitive dependence on the initial conditions and could be either a trapped kink-antikink state, a "reflection" or a "transmission”. Such resonance effects are already known to exist for the conventional discrete ø(^4) system, and the TD ø(^4) system is no different, though the results for the two are not entirely similar. Chapter 3 considers the question of the existence of explicit travelling kink solutions for lattice systems. In particular, an expression for such a solution for the integrable lattice sine-Gordon system is derived. In Chapter 4, by reducing the Yang-Mills equations on the (2 + 2)-dimensional ultrahyperbolic space-time, an integrable Yang-Mills-Higgs system on (2 + 1) dimensional de Sitter space-time is derived. It represents the curved space-time version of the Bogomolny equations for monopoles on R(^3) . Using twister methods, various explicit solutions with gauge groups U(l) and SU(2) are constructed. A multi-solution SU(2) solution is also presented.
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Trippe, Christian. "Ein neuer Zugang zum Sine-Gordon-Modell und Korrelationsfunktionen der massiven XXZ-Kette." Wuppertal Universitätsbibliothek Wuppertal, 2010. http://d-nb.info/1003242901/34.

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Mota, Leonides da Rocha. "O teste de Painlevé e a integrabilidade do modelo generalizado de sine-Gordon." Universidade Federal de Mato Grosso, 2014. http://ri.ufmt.br/handle/1/701.

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Neste trabalho, examinamos a integrabilidade do modelo generalizado de sine-Gordon (GsG), no contexto do teste de Painlevé para equações diferenciais parciais (EDPs). Mostramos que o modelo (GsG) possui certos submodelos como o modelo duplo sine-Gordon (DsG), Bukhvostov-Lipatov (BL) e os modelos integráveis sine-Gordon. O modelo BL possui algumas direções integráveis no espaço dos campos. Classi camos as massas das soluções tipo sólitons (kinks) do modelo (GsG) através dos pesos máximos da álgebra de Lie sl(3), e mostramos que essas massas pertencem a determinados multipletos neste esquema de representação. Abordamos o modelo integrável NLS defocusing e estudamos a colisão de dois sólitons dark, em particular estudamos a mudança de fase após a sua colisão.
In this work the integrability of the generalized sine-Gordon model (GsG) is examined in the context of the Painlevé test for partial di erential equations (PDEs). We show that the (GsG) model possesses certain submodels such as the double sine-Gordon (DsG), Bukhvostov-Lipatov (BL) and the integrable sine-Gordon models. The BL model possesses some integrable directions in the eld space. Moreover, we classify the kink type solutions of the (GsG) model through the highest weight representations of the underlying sl(3) Lie algebra, and we show that these masses belong to certain multiplets in that representation scheme. We discussed the integrable defocusing NLS model and study the collision of two dark solitons, in particular we study the phase shift after their collision.
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Franzini, Tommaso. "Thermodynamic Bethe Ansatz for a family of scattering theories with U_q(sl(2)) symmetry." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/20546/.

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In this thesis work we analyze a wide class of 1+1 dimensional integrable scattering theories with Uq(sl(2)) quantum group symmetry, whose asymptotic states are multiplets of particles with iso-spin k/2. Their two-body S-matrices have been recently found in terms of the R matrix of the quantum group. Since they satisfy Yang-Baxter equation, unitarity and crossing symmetry, they represent a consistent integrable factorized scattering theory. The question of finding the corresponding underlying QFT can be addressed once the Thermodynamic Bethe Ansatz (TBA) is obtained. In this work we get the TBA equations and we compare them to previous known results of S. R. Aladim e M. J. Martins for the particular case when q→1.
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Books on the topic "Sine-Gordon Model"

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Cuevas-Maraver, Jesús, Panayotis G. Kevrekidis, and Floyd Williams, eds. The sine-Gordon Model and its Applications. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06722-3.

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1959-, Kivshar Y. S., ed. The Frenkel-Kontorova model: Concepts, methods, and applications. Berlin: Springer, 2003.

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Braun, O. M., and Y. S. Kivshar. The Frenkel-Kontorova Model: Concepts, Methods, and Applications (Theoretical and Mathematical Physics). Springer, 2004.

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Book chapters on the topic "Sine-Gordon Model"

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Lozano, Yolanda, Steven Duplij, Malte Henkel, Malte Henkel, Euro Spallucci, Steven Duplij, Malte Henkel, et al. "Supersymmetric Sine-Gordon Model." In Concise Encyclopedia of Supersymmetry, 449–50. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/1-4020-4522-0_610.

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Dimock, J. "The sine-Gordon model at 𝛽=4𝜋." In CRM Proceedings and Lecture Notes, 63–68. Providence, Rhode Island: American Mathematical Society, 2001. http://dx.doi.org/10.1090/crmp/027/06.

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Destri, Claudio. "On the Quantum—Group Restriction of the Massive Thirring (Sine—Gordon) Model." In Integrable Quantum Field Theories, 53–67. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_5.

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Malomed, Boris A. "The sine-Gordon Model: General Background, Physical Motivations, Inverse Scattering, and Solitons." In Nonlinear Systems and Complexity, 1–30. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06722-3_1.

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Semenov, Mikhail E., Olga O. Reshetova, Akim V. Tolkachev, Andrey M. Solovyov, and Peter A. Meleshenko. "Oscillations Under Hysteretic Conditions: From Simple Oscillator to Discrete Sine-Gordon Model." In Springer Proceedings in Physics, 229–53. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-9463-8_12.

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Matsui, Chihiro. "Boundary Effects on the Supersymmetric Sine-Gordon Model Through Light-Cone Lattice Regularization." In Springer Proceedings in Mathematics & Statistics, 311–35. Singapore: Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-2636-2_21.

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Babujian, H., and M. Karowski. "The Form Factors and Quantum Equation of Motion in the Sine-Gordon Model." In Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory, 17–34. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0670-5_2.

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Wysin, G. M., and A. R. Bishop. "One-Dimensional Easy-Plane Magnets: Classical Sine-Gordon Theory or a Quantum Model?" In Springer Series in Solid-State Sciences, 42–52. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-83033-4_4.

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Atanasova, P. Kh, T. L. Boyadjiev, E. V. Zemlyanaya, and Yu M. Shukrinov. "Numerical Study of Magnetic Flux in the LJJ Model with Double Sine-Gordon Equation." In Numerical Methods and Applications, 347–52. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-18466-6_41.

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Mezincescu, Luca, and Rafael I. Nepomechie. "Integrals of Motion for the Sine-Gordon Model with Boundary at the Free Fermion Point." In Unified Symmetry, 213–19. Boston, MA: Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-1923-2_20.

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Conference papers on the topic "Sine-Gordon Model"

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Bajnok, Zsolt, L. Palla, and G. Takacs. "Boundary sine-Gordon model." In Workshop on Integrable Theories, Solitons and Duality. Trieste, Italy: Sissa Medialab, 2002. http://dx.doi.org/10.22323/1.008.0004.

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BAJNOK, Z., L. PALLA, G. TAKÁCS, and F. WÁGNER. "NONPERTURBATIVE ANALYSIS OF THE TWO-FREQUENCY SINE–GORDON MODEL." In Proceedings of the Johns Hopkins Workshop on Current Problems in Particle Theory 24. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812799968_0010.

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Orlov, Yury V., Alexander L. Fradkov, and Boris Andrievsky. "In-domain energy control of the sine-Gordon model." In 2018 17th European Control Conference (ECC). IEEE, 2018. http://dx.doi.org/10.23919/ecc.2018.8550613.

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JIMBO, MICHIO, TETSUJI MIWA, and FEDOR SMIRNOV. "ON ONE-POINT FUNCTIONS OF DESCENDANTS IN SINE-GORDON MODEL." In Proceedings of the Infinite Analysis 09. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814324373_0007.

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SÁNCHEZ, ANGEL, DAVID CAI, NIELS GRØNBECH-JENSEN, and A. R. BISHOP. "NON-EQUILIBRIUM PHASE TRANSITIONS IN THE TWO DIMENSIONAL DRIVEN SINE-GORDON MODEL." In Proceedings of the International Workshop. WORLD SCIENTIFIC, 1995. http://dx.doi.org/10.1142/9789814503877_0033.

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STEER, D. A., A. GÓMEZ NICOLA, T. S. EVANS, and R. J. RIVERS. "EXPLOITING DUALITY IN A TOY MODEL OF QCD AT T, µ ≠ 0: THE MASSIVE THIRRING MODEL, SINE-GORDON MODEL AND COULOMB GASES." In Proceedings of the SEWM2000 Meeting. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812799913_0044.

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Miramontes, Luis J., and Patrick Dorey. "Aspects of the homogeneous Sine-Gordon models." In Workshop on Integrable Theories, Solitons and Duality. Trieste, Italy: Sissa Medialab, 2002. http://dx.doi.org/10.22323/1.008.0006.

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Reports on the topic "Sine-Gordon Model"

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Griffin, P. A. The sine-Gordon model and the small. kappa. sup + region of light- cone perturbation theory. Office of Scientific and Technical Information (OSTI), January 1992. http://dx.doi.org/10.2172/7158261.

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Griffin, P. A. The sine-Gordon model and the small {kappa}{sup +} region of light- cone perturbation theory. Office of Scientific and Technical Information (OSTI), September 1992. http://dx.doi.org/10.2172/10177867.

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Ivancevic, Vladimir, and Tijana Ivancevic. Sine--Gordon Solitons, Kinks and Breathers as Physical Models of Nonlinear Excitations in Living Cellular Structures. Journal of Geometry and Symmetry in Physics, 2013. http://dx.doi.org/10.7546/jgsp-31-2013-1-56.

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